## anonymous one year ago evaluate this integral!! how do i do this? thank you!!

1. anonymous

|dw:1442204105077:dw|

2. CandyCove

3. Zale101

Are you familiar with IBP?

4. anonymous

what does that stand for?

5. Zale101

Integration by parts

6. anonymous

a bit! just went over it earlier for a problem, but it was a long and confusing problem lol

7. anonymous

so i find u, dv, dv, and v? would i have these so far? u=-sin x dv = dx du = dx / (1-x) v = x ?

8. Zale101

|dw:1442204387503:dw|

9. Zale101

Correct @iheartfood

10. anonymous

okay!! and so i do this? |dw:1442204498064:dw|

11. Zale101

|dw:1442204578798:dw|

12. Zale101

|dw:1442204650518:dw|

13. anonymous

okay!! and so what happens? i plug in and then get this? |dw:1442204676538:dw|

14. Zale101

|dw:1442204717388:dw|

15. Zale101

I see that you have sine instead of arcsine |dw:1442204781493:dw|

16. anonymous

oh oops my bad haha i meant to write sin^-1x lol

17. Zale101

Oh okay, but how did you get negative in front of sine?

18. anonymous

ohh oops so it should be like this? |dw:1442204892821:dw|

19. anonymous

the stuff you're writing keeps disappearing?

20. Zale101

Correct.

21. Zale101

|dw:1442205244552:dw|

22. anonymous

haha okay so would i then simplify and get this? xarcsinx + (1/2)((u^-1/2 +1)/(-1/2 + 1)) --> xarcsinx + u^1/2 + c ?

23. anonymous

would that be the correct solution?

24. Zale101

Yes. What would be u tho?

25. Zale101

u=1-x^2

26. anonymous

yes:)

27. anonymous

and so i plug in? xsin^-1 x + (1-x^2)^1/2 + c is the final solution?

28. Zale101

Yes.

29. Zale101

Good job ^_^

30. anonymous

yay!! thanks so much!! do you have time for another one?

31. Zale101

Sure.

32. anonymous

okay!! im not sure if i am understanding this correctly? |dw:1442205581289:dw|

33. anonymous

was that correct?

34. anonymous

@Zale101 ?

35. Zale101

Looks good to me.

36. Zale101

Good job! :)

37. anonymous

ooh yay!! thank you!!:D